Suppose that v1,... ,vn form a basis for Rn. Let A be a nonsingular matrix. Prove that

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Suppose that v1,... ,vn form a basis for Rn. Let A be a nonsingular matrix. Prove that Av1........Avn also form a basis for Rn. What is this basis if you start with the standard basis: vi = ei?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:32 AM

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Suppose that v1,... ,vn form a basis for Rn. Let A be a nonsingular matrix. Prove that

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a By Theorem 231 we only need prove linear independence ...View the full answer

Applied Linear Algebra

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